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Paul started a new job in October. He gets paid $12.50 per hour and has $75 deducted from his first paycheck for uniforms. Paul needs to earn at least $450 in October to cover his bills. How many hours, h, does he need to work to cover his bills in October? Enter a value and select an inequality symbol to represent the solution.

1 Answer

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Final answer:

To find out how many hours Paul needs to work to cover his bills in October, we can set up an inequality: 12.50h - 75 ≥ 450. Solving this inequality, we find that Paul needs to work at least 42 hours.

Step-by-step explanation:

To find out how many hours Paul needs to work to cover his bills in October, we can set up an inequality. Let h represent the number of hours Paul needs to work.

Paul earns $12.50 per hour. So, his total earnings will be 12.50h.

Paul also has $75 deducted from his first paycheck for uniforms. So, his total earnings after the deduction will be 12.50h - 75.

To cover his bills, Paul needs to earn at least $450. Therefore, we can write the inequality: 12.50h - 75 ≥ 450.

Now, we can solve the inequality to find the value of h:

  1. Add 75 to both sides: 12.50h - 75 + 75 ≥ 450 + 75 = 525.
  2. Divide both sides by 12.50: 12.50h/12.50 ≥ 525/12.50 = 42.

Therefore, Paul needs to work at least 42 hours to cover his bills in October.

User Renato Leite
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